Geodesic
A General Linear Theory of Elastic Plates and its Variational Validation
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 321-341

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We provide a variational justification for shearable-plate models that generalize the classic Reissner-Mindlin model. Firstly, we give an argument leading to choose a fairly general linearly elastic monoclinic material response. Secondly, we prove that, for materials in such constitutive class, the variational limit of certain suitably scaled 3D energies is a functional whose minimum over a maximal subspace of admissible functions coincides with the minimum of the generalized Reissner-Mindlin functional. 
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     title = {A {General} {Linear} {Theory} of {Elastic} {Plates} and its {Variational} {Validation}},
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Percivale, Danilo; Podio-Guidugli, Paolo. A General Linear Theory of Elastic Plates and its Variational Validation. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 2, pp. 321-341. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_2_a1/